5 papers
Note on Totally Skew Embeddings of Quasitoric Manifolds over Cube
Djordje Baralic
Totally skew embeddings are introduced by Ghomi and Tabachnikov. They are naturally related to classical problems in topology, such as the generalized vector field problem and the…
Cinderella, quadrilaterals and conics
Djordje Baralic, Branko Grbic, Djordje Zikelic
We study quadrilaterals inscribed and circumscribed about conics. Our research is guided by experiments in software Cinderella. We extend the known results in projective geometry o…
On Non-zero Degree Maps between Quasitoric 4-Manifolds
Djordje Baralic
We study the map degrees between quasitoric 4-manifolds. Our results rely on Theorems proved by Duan and Wang. We determine the set D (M, N) of all possible map degrees from M to N…
Illumination of Pascal's Hexagrammum and Octagrammum Mysticum
Djordje Baralic, Igor Spasojevic
We prove general results which include classical facts about 60 Pascal's lines as special cases. Along similar lines we establish analogous results about configurations of 2520 con…
Topological obstructions to totally skew embeddings
Djordje Baralic, Branislav Prvulovic, Gordana Stojanovic +2
Following Ghomi and Tabachnikov we study topological obstructions to totally skew embeddings of a smooth manifold M in Euclidean spaces. This problem is naturally related to the qu…